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Continuous Modeling of Calcium Transport Through Biological Membranes

机译:通过生物膜的钙转运的连续模型

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In this work an approach to the modeling of the biological membranes where a membrane is treated as a continuous medium is presented. The Nernst-Planck-Poisson model including Poisson equation for electric potential is used to describe transport of ions in the mitochondrial membrane-the interface which joins mitochondrial matrix with cellular cytosis. The transport of calcium ions is considered. Concentration of calcium inside the mitochondrion is not known accurately because different analytical methods give dramatically different results. We explain mathematically these differences assuming the complexing reaction inside mitochondrion and the existence of the calcium set-point (concentration of calcium in cytosis below which calcium stops entering the mitochondrion).
机译:在这项工作中,提出了一种将生物膜建模为连续膜的生物膜建模方法。包含电位泊松方程的Nernst-Planck-Poisson模型用于描述离子在线粒体膜中的运输,线粒体膜是连接线粒体基质和细胞胞浆的界面。考虑钙离子的运输。由于不同的分析方法得出的结果截然不同,因此线粒体内钙的浓度尚不清楚。我们假设线粒体内发生了复杂的反应并存在钙设定点(细胞中钙的浓度低于此浓度,钙停止进入线粒体),用数学方法解释了这些差异。

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